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Finding the Fourth Proportional to 237.12, 327.52 and 224.48

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Solution

The fourth proportional to 237.12, 327.52 and 224.48 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 327.52 = 224.48 : x
  2. Step 2: Convert to fraction form
    237.12/327.52 = 224.48/x
  3. Step 3: Cross multiply
    237.12x = 327.52 × 224.48
  4. Step 4: Simplify right side
    237.12x = 73,521.69
  5. Step 5: Solve for x
    x = 73,521.69/237.12
  6. Step 6: Final answer
    x = 310.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.